High Resolution 3D parabolic Radon filtering

Summary 2D parabolic Radon filtering is a widely used method for multiple attenuation. However, for dense and wide-azimuth gathers that exhibit azimuthal variation effects, this approach can fail. Because of the variation of the curvature of the events with the azimuth, the bin gathers can not be processed in one go but must rather be split into sub-collections where the azimuth either has little variation or varies smoothly. We instead propose herein to take into account the azimuthal effects by incorporating an elliptical model for the variations of the curvature with the azimuth, and hence define a 3D parabolic Radon filtering. This is a more natural way of processing dense wide-azimuth gathers, by honoring their actual 3D geometry, which results in more consistent decompositions and in a better filtering.